For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval....

For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval.

1.  A random sample of 35 two-year colleges in 2014-2015 had a mean tuition (for in-state students) of $4173, with a standard deviation of $2590. FInd a 92% confidence interval for the mean in-state tuition of all two-year colleges in 2014-2015.